Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both uequalsleft angle 2 comma 0 comma 2 right angle and wequalsleft angle negative 2 comma 1 comma 0 right angle where tequals0 corresponds to the given point.

The equation of the line and its parametric equations are and .

Vectorially speaking, the equation of the line is defined by the following formula:

(1)

Where:

Since must be perpendicular both to and , then we must apply cross product:

(2)

Then, we have the following equation of the line: (,  )

 (3)

And the parametric equations are, respectively:

(4)

The equation of the line and its parametric equations are and .

The statement presents typing mistakes and is poorly formatted. Correct form is shown below:

Find both vector equation and the parametric equations of the line through (0, 0, 0) that is perpendicular to the following two vectors: , .

To learn more on line equations, we kindly invite to check this verified question: link

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

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step-by-step explanation: